%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% Long letter 南京大学版 Nanjing University Version
% Version 1.0 (2022-03-27)

% This template was revised by Zheng-hu Nie(brian.nie@gmail.com) based on Fanchao Chen (chenfc@fudan.edu.cn).
% This template originates from:
% https://www.LaTeXTemplates.com

%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

%----------------------------------------------------------------------------------------
%	PACKAGES AND OTHER DOCUMENT CONFIGURATIONS 文档基础配置
%----------------------------------------------------------------------------------------

\documentclass{article}

\usepackage{charter} % Use the Charter font
%% 常量定义

%% TODO 论文信息 
\newcommand{\papername}{Composite Multi-Span Amplitude-Aware Ordinal Transition Network: Fine-Grained Representation and Quantification of Complex System Time Series}

%% 期刊信息
% TODO 期刊名称
\newcommand{\journal}{Chaos: An Interdisciplinary Journal of Nonlinear Science}
% TODO 主编名称
\newcommand{\editor}{Prof. Bradley}
%% 作者信息
% TODO 作者姓名
\newcommand{\authorname}{Prof. Bin Hu}
% TODO 邮箱
\newcommand{\authoremail}{bh@lzu.edu.cn}
% TODO 单位名称
\newcommand{\unit}{School of Information Science and Engineering, Lanzhou University}
% TODO 地址
\newcommand{\address}{Lanzhou, Gansu Province, 730000, China}

\usepackage[
	a4paper, % Paper size
	top=1in, % Top margin
	bottom=1in, % Bottom margin
	left=1in, % Left margin
	right=1in, % Right margin
	%showframe % Uncomment to show frames around the margins for debugging purposes
]{geometry}

\setlength{\parindent}{0pt} % Paragraph indentation
\setlength{\parskip}{1em} % Vertical space between paragraphs

\usepackage{graphicx} % Required for including images

\usepackage{fancyhdr} % Required for customizing headers and footers

\fancypagestyle{firstpage}{%
	\fancyhf{} % Clear default headers/footers
	\renewcommand{\headrulewidth}{0pt} % No header rule
	\renewcommand{\footrulewidth}{1pt} % Footer rule thickness
}

\fancypagestyle{subsequentpages}{%
	\fancyhf{} % Clear default headers/footers
	\renewcommand{\headrulewidth}{1pt} % Header rule thickness
	\renewcommand{\footrulewidth}{1pt} % Footer rule thickness
}

\AtBeginDocument{\thispagestyle{firstpage}} % Use the first page headers/footers style on the first page
\pagestyle{subsequentpages} % Use the subsequent pages headers/footers style on subsequent pages

%----------------------------------------------------------------------------------------

\begin{document}

%----------------------------------------------------------------------------------------
%	FIRST PAGE HEADER
%----------------------------------------------------------------------------------------

\includegraphics[width=0.35\textwidth]{lzu.jpg} % Logo

\vspace{-1em} % Pull the rule closer to the logo

\rule{\linewidth}{1pt} % Horizontal rule

\bigskip % Vertical whitespace

%----------------------------------------------------------------------------------------
%	YOUR NAME AND CONTACT INFORMATION
%----------------------------------------------------------------------------------------

\hfill
\begin{tabular}{l @{}}
\hfill \today \bigskip\\ % Date
\hfill \authorname \\
\hfill \unit\\
\hfill \address \\ % Address
\hfill Email: \authoremail \\
\end{tabular}

\bigskip % Vertical whitespace

%----------------------------------------------------------------------------------------
%	ADDRESSEE AND GREETING
%----------------------------------------------------------------------------------------

\begin{tabular}{@{} l}
	\editor \\
	Editor-in-chief \\
	\textit{\journal}
\end{tabular}

\bigskip % 换行

Dear \editor,

%\bigskip % 换行

%% 固定说法
I am pleased to submit our manuscript entitled ``\textbf{\papername}'' to \textit{\journal} for consideration the possibility of its publication.

%% TODO 正文
This work addresses critical limitations in current ordinal transition networks (OTNs) used for complex system analysis, introducing novel methodologies to improve sensitivity and robustness in practical, noisy environments. 

Traditional OTNs, while useful for complex system analysis, often miss amplitude variations within patterns and rely on a single transition span, limiting their capture of dynamic characteristics. Our composite multi-span amplitude-aware ordinal transition network (CMAOTN) addresses these gaps by incorporating the Earth Mover’s Distance to detect amplitude changes and using multiple spans to capture temporal evolution, enhancing representation and quantification of system dynamics.

The proposed composite multi-span amplitude-aware ordinal transition entropy (CMAOTE) is derived from CMAOTN, offering a robust complexity measure. Synthetic data tests show CMAOTE’s effectiveness in capturing complexity with high efficiency and resilience in noisy, low-volume data. Validation on real-world bearing vibration data highlights CMAOTE’s reliability, supporting its relevance for real-time diagnostics and predictive maintenance in industrial applications.

We believe that our contributions are well-aligned with the mission of \textit{\journal}, offering a new tool for more precise time-series analysis that could advance industrial monitoring and fault detection processes. We hope this work will benefit the journal’s readers by providing insights into enhancing ordinal transition network applications across various complex industrial systems.

%% 固定说法

% 我们确认该手稿以前没有发表过，也没有考虑在其他地方发表。对于重要的知识内容，所有作者都为稿件的创作做出了贡献，并批准了最终稿件。
We confirm that the manuscript has not been published previously nor is it under consideration for publication elsewhere. All authors have contributed to the creation of this manuscript for important intellectual content and approved the final manuscript.

%感谢您考虑我们的稿件发表。我们期待您的积极回应。
Thank you for considering our manuscript for publication. We look forward to your favorable response.


\bigskip % 换行

Sincerely yours,

\authorname


\end{document}

% To PIZZA, a famous fat-ass cat who lived in Dorm 12.